Properties of the Number 72664

Seventy-Two Thousand Six Hundred Sixty-Four

Basics

Value: 72663 → 72664 → 72665

Parity: even

Prime: No

Previous Prime: 72661

Next Prime: 72671

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 31 × 293

Divisors: 1, 2, 4, 8, 31, 62, 124, 248, 293, 586

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101111011000

Octal: 215730

Duodecimal: 36074

Hexadecimal: 11bd8

Square: 5280056896

Square Root: 269.56260868302934

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Minimal (positive) solution a(n) of Pell equation b(n)² - D(n)*a(n)² = +4 with D(n)= A077425(n). The companion sequence is a(n)=A077428(n). A78355

Second coordinate of fundamental unit of real quadratic field with discriminant A003658(n), n >= 2. A14046

Minimal positive solution a(n) of Diophantine equation b(n)² - b(n)*a(n) - G(n)*a(n)² = +1 or -1 with G(n) := A078358(n). The companion sequence is b(n)=A077057(n). A77058

Write fundamental unit for real quadratic field of discriminant n as x + y*ω; sequence gives values of y for n == 1 (mod 4). A53373

a(n) = 5ⁿ + (1 - 4ⁿ)/3. A155485

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (1, 0, 1), (1, 1, -1), (1, 1, 1)}. A150935

First coordinate of fundamental unit of real quadratic field with discriminant A003658(n), n >= 2. A14000

End of smallest run of n consecutive integers with n, n-1, ..., 1 distinct prime factors in that order. A72664